Difference between revisions of "2000 AMC 10 Problems/Problem 4"
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==Problem== | ==Problem== | ||
| − | Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was <math>12.48< | + | Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was <math></math>12.48<math>, but in January her bill was </math><math>17.54</math> because she used twice as much connect time as in December. What is the fixed monthly fee? |
| − | <math>\ | + | <math>\textbf{(A)} </math>2.53 \qquad\textbf{(B)} <math>5.06 \qquad\textbf{(C)} </math>6.24 \qquad\textbf{(D)} <math>7.42 \qquad\textbf{(E)} </math>8.77<math> |
==Solution== | ==Solution== | ||
Revision as of 17:23, 19 April 2021
Problem
Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $$ (Error compiling LaTeX. Unknown error_msg)12.48
because she used twice as much connect time as in December. What is the fixed monthly fee?
2.53 \qquad\textbf{(B)} 
6.24 \qquad\textbf{(D)} 
8.77$==Solution==
Let$ (Error compiling LaTeX. Unknown error_msg)x
y
x+y=12.48$$ (Error compiling LaTeX. Unknown error_msg)x+2y=17.54$$ (Error compiling LaTeX. Unknown error_msg)y=5.06$$ (Error compiling LaTeX. Unknown error_msg)x=7.42
\boxed{\text{D}}$
See Also
| 2000 AMC 10 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
